Answer:
Slope = -¾
Step-by-step explanation:
Given the points, (-20,-4) and (-12, -10), use the following formula to solve for the slope:
m = (y₂ - y₁)/(x₂ - x₁)
Let (x₁, y₁) = (-20,-4)
(x₂, y₂) = (-12, -10)
Substitute these values into the slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
[tex]m = \frac{-10 - (-4)}{-12 - (-20)}[/tex]
[tex]m = \frac{-10 + 4}{-12 + 20}[/tex]
[tex]m = \frac{-6}{8}[/tex]
Simplify the fraction into its lowest terms by dividing the numerator and the denominator by 2:
[tex]m = \frac{-6}{8}[/tex] ÷ [tex]\frac{2}{2}[/tex]
m = -¾
Therefore, the slope of the line is -¾
